-
mf_newforms • Show schema
Hide schema
{'Nk2': 97344, 'analytic_conductor': 194.32393835898793, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [24336, 1, [21295, 6085, 18929, 3889], [47, 47, 47, 47]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892621584, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '24336.2.a.bu', 'level': 24336, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{5}-2q^{17}-4q^{19}-q^{25}-6q^{29}+\\cdots', 'related_objects': ['EllipticCurve/Q/24336/bu'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '24336.2.a', 'trace_display': [0, 0, 2, 0], 'traces': [1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 12, 0, 0, 0, 4, 0, -7, 0, 0, 0, -6, 0, 0, 0, 0, 0, 8, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 12, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, -18, 0, 0, 0, 0, 0, -8, 0, 6, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
label 24336.2.a.bu does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [36, 42, 59, 57, 41, 36, 54, 57], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 5, 6], 'ALdims_eis_old': [41, 42, 42, 42, 42, 42, 37, 36], 'ALdims_old': [483, 488, 473, 463, 491, 484, 464, 473], 'Nk2': 97344, 'analytic_conductor': 194.32393835898793, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [24336, 1, [21295, 6085, 18929, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4201, 'dim': 382, 'eis_dim': 335, 'eis_new_dim': 11, 'hecke_orbit_code': 33578768, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 9, 9, 9], 'label': '24336.2.a', 'level': 24336, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 4536, 'mf_new_dim': 393, 'num_forms': 155, 'plus_dim': 183, 'prim_orbit_index': 1, 'relative_dim': 382, 'sturm_bound': 8736, 'trace_display': [0, 0, -2, -2], 'traces': [382, 0, 0, 0, -2, 0, -2, 0, 0, 0, 6, 0, 0, 0, 0, 0, -2, 0, -10, 0, 0, 0, 0, 0, 358, 0, 0, 0, -10, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 16, 0, 0, 0, 14, 0, 338, 0, 0, 0, 2, 0, -20, 0, 0, 0, 14, 0, 4, 0, 0, 0, 0, 0, -10, 0, 0, 0, -30, 0, 4, 0, 0, 0, -8, 0, -4, 0, 0, 0, -22, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 40, 0, 4, 0, 0, 0, -26, 0, -12, 0, 0, 0, -12, 0, -8, 0, 0, 0, 6, 0, -72, 0, 0, 0, -20, 0, 334, 0, 0, 0, -12, 0, 8, 0, 0, 0, -32, 0, -24, 0, 0, 0, 14, 0, 12, 0, 0, 0, 0, 0, 28, 0, 0, 0, -10, 0, -10, 0, 0, 0, -44, 0, -32, 0, 0, 0, 8, 0, -30, 0, 0, 0, -42, 0, 0, 0, 0, 0, -42, 0, 2, 0, 0, 0, -20, 0, -8, 0, 0, 0, 44, 0, 36, 0, 0, 0, -16, 0, 0, 0, 0, 0, 22, 0, -44, 0, 0, 0, -4, 0, -28, 0, 0, 0, 4, 0, -60, 0, 0, 0, -56, 0, 24, 0, 0, 0, 0, 0, 26, 0, 0, 0, 82, 0, 32, 0, 0, 0, 14, 0, 64, 0, 0, 0, 90, 0, 36, 0, 0, 0, -50, 0, 0, 0, 0, 0, -72, 0, -32, 0, 0, 0, 54, 0, 0, 0, 0, 0, 8, 0, 68, 0, 0, 0, 38, 0, -42, 0, 0, 0, 34, 0, -24, 0, 0, 0, 6, 0, 88, 0, 0, 0, 48, 0, 354, 0, 0, 0, 30, 0, 44, 0, 0, 0, 0, 0, 48, 0, 0, 0, 36, 0, 26, 0, 0, 0, -20, 0, -20, 0, 0, 0, 22, 0, 100, 0, 0, 0, 52, 0, 0, 0, 0, 0, 32, 0, 6, 0, 0, 0, 52, 0, 20, 0, 0, 0, 64, 0, -76, 0, 0, 0, 84, 0, -28, 0, 0, 0, -18, 0, 0, 0, 0, 0, -2, 0, 326, 0, 0, 0, 16, 0, -40, 0, 0, 0, 100, 0, -44, 0, 0, 0, 0, 0, 30, 0, 0, 0, -78, 0, 48, 0, 0, 0, -10, 0, -48, 0, 0, 0, -144, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 4, 0, 28, 0, 0, 0, 132, 0, 188, 0, 0, 0, 24, 0, 24, 0, 0, 0, -54, 0, 4, 0, 0, 0, 2, 0, 72, 0, 0, 0, 32, 0, 8, 0, 0, 0, -124, 0, 60, 0, 0, 0, -58, 0, -116, 0, 0, 0, 0, 0, 4, 0, 0, 0, 22, 0, 30, 0, 0, 0, 60, 0, 20, 0, 0, 0, -48, 0, 10, 0, 0, 0, -74, 0, 0, 0, 0, 0, 76, 0, 202, 0, 0, 0, -84, 0, 20, 0, 0, 0, -104, 0, 134, 0, 0, 0, -156, 0, 28, 0, 0, 0, 54, 0, 204, 0, 0, 0, 56, 0, 24, 0, 0, 0, 10, 0, 376, 0, 0, 0, -60, 0, 210, 0, 0, 0, 0, 0, -16, 0, 0, 0, 150, 0, 32, 0, 0, 0, 80, 0, -20, 0, 0, 0, 204, 0, -32, 0, 0, 0, 54, 0, 0, 0, 0, 0, -216, 0, 28, 0, 0, 0, -82, 0, 356, 0, 0, 0, -12, 0, -16, 0, 0, 0, -48, 0, 124, 0, 0, 0, -6, 0, 40, 0, 0, 0, 22, 0, -16, 0, 0, 0, 84, 0, -24, 0, 0, 0, -98, 0, 328, 0, 0, 0, 0, 0, -60, 0, 0, 0, -26, 0, 42, 0, 0, 0, -92, 0, 238, 0, 0, 0, 12, 0, 22, 0, 0, 0, 120, 0, 0, 0, 0, 0, -50, 0, 70, 0, 0, 0, 48, 0, 0, 0, 0, 0, -130, 0, -128, 0, 0, 0, 164, 0, -36, 0, 0, 0, -56, 0, 172, 0, 0, 0, 4, 0, -72, 0, 0, 0, 222, 0, 180, 0, 0, 0, 38, 0, 72, 0, 0, 0, 0, 0, -50, 0, 0, 0, -176, 0, 60, 0, 0, 0, 234, 0, 200, 0, 0, 0, -244, 0, -64, 0, 0, 0, -48, 0, 0, 0, 0, 0, 244, 0, -88, 0, 0, 0, 6, 0, -16, 0, 0, 0, -212, 0, -48, 0, 0, 0, 32, 0, 2, 0, 0, 0, -54, 0, -28, 0, 0, 0, 48, 0, -228, 0, 0, 0, -192, 0, 68, 0, 0, 0, 118, 0, 80, 0, 0, 0, 0, 0, -16, 0, 0, 0, -82, 0, -2, 0, 0, 0, 116, 0, -44, 0, 0, 0, 44, 0, -182, 0, 0, 0, -180, 0, 0, 0, 0, 0, 130, 0, 28, 0, 0, 0, -108, 0, 44, 0, 0, 0, 102, 0, 86, 0, 0, 0, -260, 0, -56, 0, 0, 0, -50, 0, -100, 0, 0, 0, 6, 0, -40, 0, 0, 0, -54, 0, 112, 0, 0, 0, -82, 0, 198, 0, 0, 0, 0, 0, -162, 0, 0, 0, 216, 0, -68, 0, 0, 0, 22, 0, 76, 0, 0, 0, 258, 0, 20, 0, 0, 0, -40, 0, 0, 0, 0, 0, -380, 0, 60, 0, 0, 0, 94, 0, -172, 0, 0, 0, -12, 0, -24, 0, 0, 0, -40, 0, 72, 0, 0, 0, 60, 0, 40, 0, 0, 0, 4, 0, 260, 0, 0, 0, 116, 0, 72, 0, 0, 0, 136, 0, 188, 0, 0, 0, 0, 0, -124, 0, 0, 0, 94, 0, -114, 0, 0, 0, -140, 0, -68, 0, 0, 0, 102, 0, -64, 0, 0, 0, 118, 0, 0, 0, 0, 0, 94, 0, -400, 0, 0, 0, 52, 0, 202, 0, 0, 0, 320, 0, -126, 0, 0, 0, 176, 0, -104, 0, 0, 0, 62, 0, 372, 0, 0, 0, -122, 0, -12, 0, 0, 0, -116, 0, 172, 0, 0, 0, 104, 0, 12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
source_label 24336.2.a.bu does not appear in mf_twists_nf
-
hecke_orbit_code 207165582892621584 does not appear in mf_hecke_charpolys
-
label 24336.2.a.bu does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 172000742
{'hecke_orbit_code': 207165582892621584, 'n': 1, 'trace_an': 1}
-
id: 172000743
{'hecke_orbit_code': 207165582892621584, 'n': 2, 'trace_an': 0}
-
id: 172000744
{'hecke_orbit_code': 207165582892621584, 'n': 3, 'trace_an': 0}
-
id: 172000745
{'hecke_orbit_code': 207165582892621584, 'n': 4, 'trace_an': 0}
-
id: 172000746
{'hecke_orbit_code': 207165582892621584, 'n': 5, 'trace_an': 2}
-
id: 172000747
{'hecke_orbit_code': 207165582892621584, 'n': 6, 'trace_an': 0}
-
id: 172000748
{'hecke_orbit_code': 207165582892621584, 'n': 7, 'trace_an': 0}
-
id: 172000749
{'hecke_orbit_code': 207165582892621584, 'n': 8, 'trace_an': 0}
-
id: 172000750
{'hecke_orbit_code': 207165582892621584, 'n': 9, 'trace_an': 0}
-
id: 172000751
{'hecke_orbit_code': 207165582892621584, 'n': 10, 'trace_an': 0}
-
id: 172000752
{'hecke_orbit_code': 207165582892621584, 'n': 11, 'trace_an': 0}
-
id: 172000753
{'hecke_orbit_code': 207165582892621584, 'n': 12, 'trace_an': 0}
-
id: 172000754
{'hecke_orbit_code': 207165582892621584, 'n': 13, 'trace_an': 0}
-
id: 172000755
{'hecke_orbit_code': 207165582892621584, 'n': 14, 'trace_an': 0}
-
id: 172000756
{'hecke_orbit_code': 207165582892621584, 'n': 15, 'trace_an': 0}
-
id: 172000757
{'hecke_orbit_code': 207165582892621584, 'n': 16, 'trace_an': 0}
-
id: 172000758
{'hecke_orbit_code': 207165582892621584, 'n': 17, 'trace_an': -2}
-
id: 172000759
{'hecke_orbit_code': 207165582892621584, 'n': 18, 'trace_an': 0}
-
id: 172000760
{'hecke_orbit_code': 207165582892621584, 'n': 19, 'trace_an': -4}
-
id: 172000761
{'hecke_orbit_code': 207165582892621584, 'n': 20, 'trace_an': 0}
-
id: 172000762
{'hecke_orbit_code': 207165582892621584, 'n': 21, 'trace_an': 0}
-
id: 172000763
{'hecke_orbit_code': 207165582892621584, 'n': 22, 'trace_an': 0}
-
id: 172000764
{'hecke_orbit_code': 207165582892621584, 'n': 23, 'trace_an': 0}
-
id: 172000765
{'hecke_orbit_code': 207165582892621584, 'n': 24, 'trace_an': 0}
-
id: 172000766
{'hecke_orbit_code': 207165582892621584, 'n': 25, 'trace_an': -1}
-
id: 172000767
{'hecke_orbit_code': 207165582892621584, 'n': 26, 'trace_an': 0}
-
id: 172000768
{'hecke_orbit_code': 207165582892621584, 'n': 27, 'trace_an': 0}
-
id: 172000769
{'hecke_orbit_code': 207165582892621584, 'n': 28, 'trace_an': 0}
-
id: 172000770
{'hecke_orbit_code': 207165582892621584, 'n': 29, 'trace_an': -6}
-
id: 172000771
{'hecke_orbit_code': 207165582892621584, 'n': 30, 'trace_an': 0}
-
id: 172000772
{'hecke_orbit_code': 207165582892621584, 'n': 31, 'trace_an': 0}
-
id: 172000773
{'hecke_orbit_code': 207165582892621584, 'n': 32, 'trace_an': 0}
-
id: 172000774
{'hecke_orbit_code': 207165582892621584, 'n': 33, 'trace_an': 0}
-
id: 172000775
{'hecke_orbit_code': 207165582892621584, 'n': 34, 'trace_an': 0}
-
id: 172000776
{'hecke_orbit_code': 207165582892621584, 'n': 35, 'trace_an': 0}
-
id: 172000777
{'hecke_orbit_code': 207165582892621584, 'n': 36, 'trace_an': 0}
-
id: 172000778
{'hecke_orbit_code': 207165582892621584, 'n': 37, 'trace_an': 2}
-
id: 172000779
{'hecke_orbit_code': 207165582892621584, 'n': 38, 'trace_an': 0}
-
id: 172000780
{'hecke_orbit_code': 207165582892621584, 'n': 39, 'trace_an': 0}
-
id: 172000781
{'hecke_orbit_code': 207165582892621584, 'n': 40, 'trace_an': 0}
-
id: 172000782
{'hecke_orbit_code': 207165582892621584, 'n': 41, 'trace_an': 6}
-
id: 172000783
{'hecke_orbit_code': 207165582892621584, 'n': 42, 'trace_an': 0}
-
id: 172000784
{'hecke_orbit_code': 207165582892621584, 'n': 43, 'trace_an': 12}
-
id: 172000785
{'hecke_orbit_code': 207165582892621584, 'n': 44, 'trace_an': 0}
-
id: 172000786
{'hecke_orbit_code': 207165582892621584, 'n': 45, 'trace_an': 0}
-
id: 172000787
{'hecke_orbit_code': 207165582892621584, 'n': 46, 'trace_an': 0}
-
id: 172000788
{'hecke_orbit_code': 207165582892621584, 'n': 47, 'trace_an': 4}
-
id: 172000789
{'hecke_orbit_code': 207165582892621584, 'n': 48, 'trace_an': 0}
-
id: 172000790
{'hecke_orbit_code': 207165582892621584, 'n': 49, 'trace_an': -7}
-
id: 172000791
{'hecke_orbit_code': 207165582892621584, 'n': 50, 'trace_an': 0}
-
id: 172000792
{'hecke_orbit_code': 207165582892621584, 'n': 51, 'trace_an': 0}
-
id: 172000793
{'hecke_orbit_code': 207165582892621584, 'n': 52, 'trace_an': 0}
-
id: 172000794
{'hecke_orbit_code': 207165582892621584, 'n': 53, 'trace_an': -6}
-
id: 172000795
{'hecke_orbit_code': 207165582892621584, 'n': 54, 'trace_an': 0}
-
id: 172000796
{'hecke_orbit_code': 207165582892621584, 'n': 55, 'trace_an': 0}
-
id: 172000797
{'hecke_orbit_code': 207165582892621584, 'n': 56, 'trace_an': 0}
-
id: 172000798
{'hecke_orbit_code': 207165582892621584, 'n': 57, 'trace_an': 0}
-
id: 172000799
{'hecke_orbit_code': 207165582892621584, 'n': 58, 'trace_an': 0}
-
id: 172000800
{'hecke_orbit_code': 207165582892621584, 'n': 59, 'trace_an': 8}
-
id: 172000801
{'hecke_orbit_code': 207165582892621584, 'n': 60, 'trace_an': 0}
-
id: 172000802
{'hecke_orbit_code': 207165582892621584, 'n': 61, 'trace_an': -2}
-
id: 172000803
{'hecke_orbit_code': 207165582892621584, 'n': 62, 'trace_an': 0}
-
id: 172000804
{'hecke_orbit_code': 207165582892621584, 'n': 63, 'trace_an': 0}
-
id: 172000805
{'hecke_orbit_code': 207165582892621584, 'n': 64, 'trace_an': 0}
-
id: 172000806
{'hecke_orbit_code': 207165582892621584, 'n': 65, 'trace_an': 0}
-
id: 172000807
{'hecke_orbit_code': 207165582892621584, 'n': 66, 'trace_an': 0}
-
id: 172000808
{'hecke_orbit_code': 207165582892621584, 'n': 67, 'trace_an': 4}
-
id: 172000809
{'hecke_orbit_code': 207165582892621584, 'n': 68, 'trace_an': 0}
-
id: 172000810
{'hecke_orbit_code': 207165582892621584, 'n': 69, 'trace_an': 0}
-
id: 172000811
{'hecke_orbit_code': 207165582892621584, 'n': 70, 'trace_an': 0}
-
id: 172000812
{'hecke_orbit_code': 207165582892621584, 'n': 71, 'trace_an': 12}
-
id: 172000813
{'hecke_orbit_code': 207165582892621584, 'n': 72, 'trace_an': 0}
-
id: 172000814
{'hecke_orbit_code': 207165582892621584, 'n': 73, 'trace_an': 14}
-
id: 172000815
{'hecke_orbit_code': 207165582892621584, 'n': 74, 'trace_an': 0}
-
id: 172000816
{'hecke_orbit_code': 207165582892621584, 'n': 75, 'trace_an': 0}
-
id: 172000817
{'hecke_orbit_code': 207165582892621584, 'n': 76, 'trace_an': 0}
-
id: 172000818
{'hecke_orbit_code': 207165582892621584, 'n': 77, 'trace_an': 0}
-
id: 172000819
{'hecke_orbit_code': 207165582892621584, 'n': 78, 'trace_an': 0}
-
id: 172000820
{'hecke_orbit_code': 207165582892621584, 'n': 79, 'trace_an': 0}
-
id: 172000821
{'hecke_orbit_code': 207165582892621584, 'n': 80, 'trace_an': 0}
-
id: 172000822
{'hecke_orbit_code': 207165582892621584, 'n': 81, 'trace_an': 0}
-
id: 172000823
{'hecke_orbit_code': 207165582892621584, 'n': 82, 'trace_an': 0}
-
id: 172000824
{'hecke_orbit_code': 207165582892621584, 'n': 83, 'trace_an': -8}
-
id: 172000825
{'hecke_orbit_code': 207165582892621584, 'n': 84, 'trace_an': 0}
-
id: 172000826
{'hecke_orbit_code': 207165582892621584, 'n': 85, 'trace_an': -4}
-
id: 172000827
{'hecke_orbit_code': 207165582892621584, 'n': 86, 'trace_an': 0}
-
id: 172000828
{'hecke_orbit_code': 207165582892621584, 'n': 87, 'trace_an': 0}
-
id: 172000829
{'hecke_orbit_code': 207165582892621584, 'n': 88, 'trace_an': 0}
-
id: 172000830
{'hecke_orbit_code': 207165582892621584, 'n': 89, 'trace_an': -18}
-
id: 172000831
{'hecke_orbit_code': 207165582892621584, 'n': 90, 'trace_an': 0}
-
id: 172000832
{'hecke_orbit_code': 207165582892621584, 'n': 91, 'trace_an': 0}
-
id: 172000833
{'hecke_orbit_code': 207165582892621584, 'n': 92, 'trace_an': 0}
-
id: 172000834
{'hecke_orbit_code': 207165582892621584, 'n': 93, 'trace_an': 0}
-
id: 172000835
{'hecke_orbit_code': 207165582892621584, 'n': 94, 'trace_an': 0}
-
id: 172000836
{'hecke_orbit_code': 207165582892621584, 'n': 95, 'trace_an': -8}
-
id: 172000837
{'hecke_orbit_code': 207165582892621584, 'n': 96, 'trace_an': 0}
-
id: 172000838
{'hecke_orbit_code': 207165582892621584, 'n': 97, 'trace_an': 6}
-
id: 172000839
{'hecke_orbit_code': 207165582892621584, 'n': 98, 'trace_an': 0}
-
id: 172000840
{'hecke_orbit_code': 207165582892621584, 'n': 99, 'trace_an': 0}
-
id: 172000841
{'hecke_orbit_code': 207165582892621584, 'n': 100, 'trace_an': 0}